[PDF] Top 20 An elliptic PDE with convex solutions
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An elliptic PDE with convex solutions
... the solutions to elliptic partial differential equations has been studied a great deal in the literature, see for example, [7] and ...the elliptic boundary value ... See full document
11
Multiple Positive Solutions for a Quasilinear Elliptic System Involving Concave Convex Nonlinearities and Sign Changing Weight Functions
... scalar elliptic equations with concave-convex nonlineari- ties are widely studied: we refer the reader to Ambrosetti et ...nonlinear elliptic systems, we refer to Adriouch and EL Hamidi 9 , Ahammou ... See full document
22
Multiple Solutions for a Class of Concave Convex Quasilinear Elliptic Systems with Nonlinear Boundary Condition
... (3.10) [4] T.-F. Wu, “Multiple Positive Solutions for Semilinear El- liptic Systems with Nonlinear Boundary Condition,” Ap- plied Mathematics and Computation, Vol. 189, No. 2, 2007, pp. 1712-1722. ... See full document
7
Multiple solutions for quasilinear elliptic problems with concave-convex nonlinearities in Orlicz–Sobolev spaces
... and established existence results. Papageorgiou and Rocha [10] considered a p-Laplacian problem with nonlinearities of the form m(x)|u| r–2 u + f (x, u) with 1 < r < p < ∞ when f is (p – 1) superlinear near ... See full document
13
Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights
... Wu, “On semilinear elliptic equations involving concave-convex nonlinearities and sign- changing weight function,” Journal of Mathematical Analysis and Applications , vol.. Lin, “On crit[r] ... See full document
17
Block Krylov Subspace Spectral Methods for Variable-Coefficient Elliptic PDE
... in solutions to a one- dimensional analogue of (19) with smoothly varying co- efficients and data, after each pass of residual correction, using a 2-node block KSS method with 256 and 512 grid points, ... See full document
6
Multiple Positive Solutions for a Class of Concave-Convex Semilinear Elliptic Equations in Unbounded Domains with Sign-Changing Weights
... positive solutions for Dirichlet problems involving concave and convex nonlinearities,” Nonlinear Analysis: Theory, Methods & Applications, ...positive solutions for semilinear Dirichlet problems ... See full document
18
Multiple positive solutions for a class of quasi-linear elliptic equations involving concave-convex nonlinearities and Hardy terms
... In the present paper, our research is mainly related to (1.1) with 1 < q < p < N, the critical exponent and weight functions f, g that change sign on Ω. When p = 2, 1 < q <2, μ ∈ [0, μ) ¯ , f, g are sign ... See full document
15
Viscosity solutions of fully nonlinear functional parabolic PDE
... Suppose here that Ω is a bounded convex domain, and there are continuous viscosity sub- and super-solutions U(t, x) and V (t,x) of (1.1) with U(t,x) = V (t,x) = 0 on ∂ Ω and an additional assumption such as ... See full document
12
Existence and multiplicity of positive solutions to a perturbed singular elliptic system deriving from a strongly coupled critical potential
... semilinear elliptic systems have been studied extensively and many conclusions have been ...an elliptic system and some important conclusions had been ...the elliptic systems involving the Hardy ... See full document
14
Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities
... [1] A. Acker, On the uniqueness, monotonicity, starlikeness, and convexity of solutions for a nonlinear boundary value problem in elliptic PDEs, Nonlinear Analysis. Theory, Methods & Applications. An ... See full document
15
Positive solutions for P Laplace problems with nonlinear time fractional differential equation
... positive solutions for P-Laplace semi-linear elliptic equations and the corresponding time-fractional ...positive solutions for nonlinear elliptic equations with a positive smooth weight ... See full document
22
Multiplicity result for a critical elliptic system with concave-convex nonlinearities
... The celebrated papers by Brezis and Nirenberg [] and by Ambrosetti et al. [] have inspired research on differential equations and systems with critical terms, and with concave-convex nonlinearities, respectively, ... See full document
10
On Multiple Solutions of Concave and Convex Nonlinearities in Elliptic Equation on
... In the present paper, we discuss the Nehari manifold and examine carefully the connection between the Nehari manifold and the fibrering maps, then using arguments similar to those used in 7, we will prove the existence ... See full document
19
Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝN
... have been studied by Ambrosetti et al. [1] (h ≡ 1, and 1 <q < 2 <p ≤ 2* = 2N/(N- 2)) and Wu [2]h ∈ C( ¯ ) and changes sign, 1 <q < 2 <p < 2*). They proved that this equa- tion has at least two ... See full document
17
Traveling Wave Solutions, Periodic and Chaotic Solutions of a PDE Approximation of Coupled Chua's Circuits.
... wave solutions to this CNN system since the existence of such solutions is one of the most prominent features of the ...bistable PDE coupled with linear first order ... See full document
89
Continuation of localised coherent structures in nonlocal neural field equations
... spot solutions were tracked using numerical continuation no snaking behaviour was observed, ...these solutions are connected in parameter space and how patterns with varying spatial extent grow via the ... See full document
22
The visualization of power density and temperature distribution of electronic system using elliptic PDE solver
... The novelty of this research is the two-dimensional visualization of power density and temperature distribution for multilayered full-chip structure governing by elliptic equation. This [r] ... See full document
9
A Multigrid Block Krylov Subspace Spectral Method for Variable-Coefficient Elliptic PDE
... Abstract—Krylov subspace spectral (KSS) methods have been demonstrated to be effective tools for solv- ing time-dependent variable-coefficient PDE. They employ techniques developed by Golub and Meurant for computing ... See full document
11
Preconditioners for reduced saddle point systems arising in elliptic PDE constrained optimization problems
... 3 Preconditioners for the Tikhonov parameter β sufficiently small In this section, we discuss block diagonal and block-triangular diagonal preconditioning techniques for the linear system[r] ... See full document
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